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Translational hulls and block designs. (English) Zbl 0521.20049


MSC:

20M20 Semigroups of transformations, relations, partitions, etc.
05B05 Combinatorial aspects of block designs
05B30 Other designs, configurations
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References:

[1] Artin, E., Geometric Algebra, New York-London: Interscience, 1957. · Zbl 0077.02101
[2] Denniston, R.H.F., On biplanes with 56 points, Ars Combinatoria, (9) 1980, 167–180. · Zbl 0443.05015
[3] Dinitz, J.H. & S.W. Margolis, Continuous maps on block designs, to appear, Ars Combinatoria.
[4] Dinitz, J.H. & S. W. Margolis, Continuous maps in finite projective spaces, to appear, Congressus Numerantium · Zbl 0515.05016
[5] Graham, R., On Finite O-simple semigroups and graph theory, Math. Syst. Theory (2) 1968, 325–339. · Zbl 0177.03103 · doi:10.1007/BF01703263
[6] Hall M., Combinatorial Theory, Ginn/Blaisdell, Waltham, Massachusetts, 1967.
[7] Houghton, C.H. Completely O-simple semigroups and their associated graphs and groups, Semigroup Forum, (14) 1977, 41–68. · Zbl 0358.20071 · doi:10.1007/BF02194654
[8] Lallement, G., Semigroups and Combintorial Applications, Wiley-Interscience, New York, 1979. · Zbl 0421.20025
[9] Margolis, S.W., K-Transformation semigroups and a conjecture of Tilson, J. Pure & App. Alg. (15) 1980, 313–322. · Zbl 0431.20052 · doi:10.1016/0022-4049(80)90053-5
[10] Morgan, E.J., Arcs in block designs, Ars Combinatoria 4 (1977), 3–16. · Zbl 0394.05004
[11] Petrich, M., The translational hull of a completely O-simple semigroup, Glasgow Math J. (9) 1968, 1–11. · Zbl 0179.04101 · doi:10.1017/S0017089500000239
[12] Pollatchek, A., Relationships between combinatorics and O-simple semigroups, J. Pure Appl. Alg. (9) 1977, 301–334. · Zbl 0421.20029 · doi:10.1016/0022-4049(77)90073-1
[13] Tilson, B., Depth Decomposition Theorem, Ch. 11 in S. Eilenberg, Automata, Languages & Machines, Vol. B, Academic Press, New York, 1976.
[14] Tilson, B., Complexity of Morphisms and Semigroups, Ch. 12 in S. Eilenberg, Automata, Languages & Machines, Vol. B, Academic Press, New York, 1976.
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